Greatest Common Factor of 6843 and 6849

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 6843, 6849 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6843 and 6849 is 3.

GCF(6843,6849) = 3

GCF of 6843 and 6849

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 6843 and 6849

GCF of 6843 and 6849 is 3

Prime Factorization of 6843


3 6843
2281 2281
1

Prime factors of 6843 are 3,2281. Prime factorization of 6843 in exponential form is:

6843 = 31×22811

Prime Factorization of 6849


3 6849
3 2283
761 761
1

Prime factors of 6849 are 3,761. Prime factorization of 6849 in exponential form is:

6849 = 32×7611

∴ So by taking common prime factors GCF of 6843 and 6849 is 3

Greatest Common Factor of 6843 and 6849 by matching factors method

Factors of 6843

List of positive integer factors of 6843 that divides 6843 without a remainder.

1,3,2281,6843

Factors of 6849

List of positive integer factors of 6849 that divides 6849 without a remainder.

1,3,9,761,2283,6849

Greatest Common Factor

We found the factors and prime factorization of 6843 and 6849. The biggest common factor number is the GCF number.
So the greatest common factor 6843 and 6849 is 3.

Also check out the Least Common Multiple of 6843 and 6849

Properties of GCF 6843 and 6849

(i) The GCF of 6843 and 6849 is associative

GCF of 6843 and 6849 = GCF of 6849 and 6843

Related Greatest Common Factor of 6843

Related Greatest Common Factor of 6849

Frequently Asked Questions on GCF of 6843 and 6849

1. What is the GCF of 6843 and 6849?

Answer: GCF of 6843 and 6849 is 3.

2. What are the Factors of 6843?

Answer: Factors of 6843 are 1, 3, 2281, 6843. There are 4 integers that are factors of 6843. The greatest factor of 6843 is 6843.

3. What are the Factors of 6849?

Answer: Factors of 6849 are 1, 3, 9, 761, 2283, 6849. There are 6 integers that are factors of 6849. The greatest factor of 6849 is 6849.

4. How to Find the GCF of 6843 and 6849?

Answer:

Greatest Common Factor of 6843 and 6849 = 3

Step 1: Find the prime factorization of 6843

6843 = 3 x 2281

Step 2: Find the prime factorization of 6849

6849 = 3 x 3 x 761

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 3

Step 4: Therefore, the greatest common factor of 6843 and 6849 is 3